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Vibration control and energy accumulation of one-dimensional acoustic black hole structure with damping layer

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Abstract

In the view of the potential for vibration control and energy harvesting of the acoustic black hole (ABH), the transfer matrix scheme combined with the finite element method is utilized to establish the governing equation of a one-dimensional ABH beams attached with a damping layer. According to the continuous condition of generalized forces and displacements between the two adjacent uniform sections, the transfer relationship is derived. The energy ratio is defined as the ratio of the edge part to the entire wedge, which illustrates the energy concentration effect. A damping layer is introduced for controlling the fluctuation. Numerical simulation is presented to illustrate the effectiveness of presented control method. The influences of physical parameters such as excitation frequency, power exponent and thickness of the damping layer on energy concentration are discussed.

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Acknowledgements

This work is supported by the National Natural Science Foundation of China (Grant Nos. 11902001, 11875126). China Postdoctoral Science Foundation (Grant No. 2018M641643), Anhui Provincial Natural Science Foundation (Grant No. 1908085QA13) and the Middle-aged Top-notch Talent and Innovative Team Support Program of Anhui Polytechnic University.

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Authors and Affiliations

  1. School of Mathematics and Physics, North China Electric Power University, Beijing, 102206, People’s Republic of China

    Yaxin Zhen & Tong Gu

  2. School of Mechanical Engineering, Anhui Polytechnic University, Wuhu, 241000, People’s Republic of China

    Ye Tang

  3. Department of Mechanics, Tianjin University, Tianjin, 300350, People’s Republic of China

    Ye Tang

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  1. Yaxin Zhen
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  2. Tong Gu
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Correspondence to Ye Tang.

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Zhen, Y., Gu, T. & Tang, Y. Vibration control and energy accumulation of one-dimensional acoustic black hole structure with damping layer. Arch Appl Mech 92, 1777–1788 (2022). https://doi.org/10.1007/s00419-022-02145-x

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  • DOI: https://doi.org/10.1007/s00419-022-02145-x

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